A ladder leans against the side of a house. The angle of elevation of the ladder is 65, and the top of the ladder is 13 from the ground. Find the length of the ladder. Round your answer to the nearest tenth.

Answer:

  551/1

Step-by-step explanation:

  [tex]551 = \dfrac{551}{1}[/tex]

__

Any integer can be written as a rational number with a denominator of 1.

Answer: 32.202

or 32.20

or 32.2



Answer:

P ≈ 0,94

Step-by-step explanation:

The normal deck of cards consists of  52 cards, (with 4 kings )

If we take a king a deck will have 51 cards ( three kings )

The probability to get a non-king card is

Probability of non-king card (P)  = 1 - Probability of getting a king card (P₁)

Probability of getting a king card  P₁= 3/51 ≈ 0,059

Then P = 1 - 0,059

P ≈ 0,94

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

The solution of expression is,

⇒ - 2xy + 5y - 9x

We have to given that,

An expression to solve,

⇒ 4xy - 6xy + 5y - 9x

Now, We can simplify the expression by combining like terms as,

⇒ 4xy - 6xy + 5y - 9x

⇒ - 2xy + 5y - 9x

Therefore, The solution of expression is,

⇒ - 2xy + 5y - 9x

Learn more about the mathematical expression visit:

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While the letter grade to numerical contribution for a single subject is ordinal, the moment you compute a grade point average you already treated it as interval at that moment (otherwise you have no basis on which to assert that A+C = B+B).

Answer:

General rule of thumb: if you can add it, it's quantitative. For example, a G.P.A. of 3.3 and a G.P.A. of 4.0 can be added together (3.3 + 4.0 = 7.3), so that means it's quantitative. While the letter grade to numerical contribution for a single subject is ordinal, the moment you compute a grade point average you already treated it as interval at that moment

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

Answer:

Following are the answer to the given choices:  

Step-by-step explanation:

In potion A:

The model, that will be formed can be defined as follows:

[tex]\widehat{W age} = \hat b_{0} + \hat b_{1} x Y_{rs} \epsilon done \\\\ \hat B_1 = \frac{\sum_{i=1}^{n} (W_{age}i - \widehat{W age} \times (Y_{rs} Edui - \widehat{Y_{rs}\epsilon})}{\int S_{yrs}\epsilon dre}\\[/tex]

[tex]\ the \ new \ W_{age} = 10^{-3} \times W_{age} \\\\\hat {B_{1 new}} = 10^{-3} \hat {B}\\\\ \hat{B_{0}} = \widehat{W age} -\hat {B_1} \bar{Y_{rs}\epsilon dus} \\\\\hat{B_{0 \ new}} = \widehat{W age} \times 10^{-3} - 10^{-3} \hat {B_1} Y_{rs}\epsilon dus \\[/tex]

           [tex]= 10^{-3} \hat {B_0}\\[/tex]

[tex]\hat B_{0 \ new} = 15 \times 10^{-3} \\\hat B_{1 \ new} = 0.28 \times 10^{-3} \\[/tex]

In potion B:

[tex]\ The \ new \ Y_{rs}\epsilon dus = \frac{Y_{rs} \epsilon dus}{7} \\\hat b_{1 \ new} = 7 \hat b_1\\\hat b_{ 0 \ new } = \widehat{W_{age}} - 7 \hat b_1 \times \frac{\bar Y_{rs}\epsilon dus}{7} \\\hat b_{0 \ new} = \hat B_{0}\\\hat b_{0} = 15.00 \\\hat b_{1} = 0.04 \\[/tex]

In potion C:

[tex]\ Y_{rs}\epsilon dus \ new = \frac{Y_{rs} \epsilon dus}{180} \\\\\widehat{W_{age} new} = \widehat{W_{age}} \times 10^{-2} \\\\\hat b_{1 \ new} = \hat b_{1} \times 10^{-2} \times 180 = \hat b_1 \times 1.8 \\\\\ hat b_{ 0 \ new } = 10^{-2} \widehat{W_{age}} - \hat b_1 \times 1.8 \times \frac{\bar Y_{rs}\epsilon dus}{180} \\\\[/tex]

               [tex]= 10^{-2} \ \hat B_{0}\\[/tex]

[tex]\hat b_{0 \ new} = 0.15 \\\hat b_{1 \ new} = 0.504 \\[/tex]

Answer:

Step-by-step explanation:

Part A. The total length of a line segment is the sum of the lengths of its parts.

  AM +MB = AB

Substituting the given information, this equation becomes ...

  (7x +8) cm + (9x -8) cm = 128 cm

  16x = 128 . . . . . . . . . collect terms, divide by cm

  x = 128/16 . . . . . divide by the coefficient of x

  x = 8

__

Part B. Then the length of AM is ...

  AM = (7x +8) cm = (7(8) +8) cm = (56 +8) cm

  AM = 64 cm

__

Part C. The length of BM is ...

  BM = (9x -8) cm = (9(8) -8) cm = (72 -8) cm

  BM = 64 cm

__

Part D. AM = BM = 64 cm, so point M is the midpoint of AB. Point M divides the segment into two equal parts.

Answer: The book is right, it would break down to 3x = 3.

3x - 2 = 1 so add the 2 to the other side.

3x = 3 and then you can divide both sides by 3 to get x = 1.

Sorry if I misread what you were asking

Answer: The answer should be 3x = 3.

Step-by-step explanation:

Here's why:

3x -2 = 1

First one must isolate the 3x in order to solve the problem. So, then one must add 2 to both sides, since the 2 is negative. (So if it is a -2, add it to the other side because remember, you are doing it on both sides and you have to get it to the other side).

So doing that, you get:

3x = +2 +1

3x = 3

If you want to simplify further:

3x = 3

x = 1

Answer:

11^3/5

Step-by-step explanation:

Fractional exponents work like so:

[tex]x^{\frac{a}{b}} = \sqrt[b]{x^a}[/tex]

Essentially, the numerator (a) of the fraction is the power and the denominator  (b) of the fraction is the root.

[tex]x^\frac{power}{root}[/tex]

We are given:

[tex]\sqrt[5]{11^3}[/tex]

The power is 3 and the root is 5. Let's substitute the values in.

[tex]x^\frac{power}{root}[/tex]

[tex]power=3\\root=5[/tex]

[tex]x^\frac{3}{5}[/tex]

x is the base. In this case, the base is 11.

[tex]11^\frac{3}{5}[/tex]

Therefore, 11^3/5 is the correct answer.

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3

Answer:

I think they are

|9|

|-9|

Answer:

1. $6.00 to 95 cents  = 6.32

2. 3 hours to 35 minutes  = 5.14

3. 42 inches to 2 feet = 1.75

Step-by-step explanation:

Given

$6.00 to 95 cents

3 hours to 35 minutes

42 inches to 2 feet

Required

Express in 2 decimal places

1. $6.00 to 95 cents

Express as ratio

[tex]\$6.00 : 95\ cents[/tex]

Convert dollars to cents

[tex]6.00 * 100\ cents: 95\ cents[/tex]

[tex]600\ cents: 95\ cents[/tex]

Convert ratio to division

[tex]\frac{600\ cents}{95\ cents}[/tex]

[tex]6.31578947368[/tex]

Approximate

[tex]6.32[/tex]

2. 3 hours to 35 minutes

Express as ratio

[tex]3\ hours : 35\ minutes[/tex]

Convert hours to minutes

[tex]3 * 60\ minutes: 35\ minutes[/tex]

[tex]180\ minutes: 35\ minutes[/tex]

Convert ratio to division

[tex]\frac{180\ minutes}{35\ minutes}[/tex]

[tex]5.14285714286[/tex]

Approximate

[tex]5.14[/tex]

3. 42 inches to 2 feet

Express as ratio

[tex]42\ inches: 2\ feet[/tex]

Convert feet to inches

[tex]42\ inches:2 * 12\ inches[/tex]

[tex]42\ inches : 24\ inches[/tex]

Convert ratio to division

[tex]\frac{42\ inches}{24\ inches}[/tex]

[tex]1.75[/tex]

Answer:

2 dollars

Step-by-step explanation:

if 8 limes costs 2 dollars, then 4 limes cost 1 dollar

you purchased 12 limes so since you already know what 8 limes coms, you could subtract that

12-8=4

now you need to find out how much for 4 limes which would be half the price of 8 limes.. which should be 1 dollar

so $2.00+$1.00= $3.00

finally 5 dollars minus 3 would result in a change of 2 dollars

Answer:

Option A:

Number of seats

Step-by-step explanation:

A discrete quantitative variable is a variable that can be enumerated. This means that they are in units in which numbers can be assigned to and can be counted.

The number of seats present in the car can be counted. This feature can also be evaluated based on its numeral value, rather than its quality. In a simple form, the buyers feel that the more the number of seats present in the car, the more people it can carry. Hence, the family would love to buy a car with a good number of seats in it.

The other features in the options are rather continuous, qualitative, or boolean. Some of them are continuous because they cannot be counted e.g fuel efficiency. The others such as the presence of a sunroof can be seen as a boolean variable. (it can either be true or false)

Type of the transmission is a qualitative variable

Answer: fuel efficiency

Step-by-step explanation:

took the exam review on edg

Answer:

A. (14 – 7)n – 55

Step-by-step explanation:

it cost $14 to make so $14 - $7 to make then you have to advertise it AFTER and it takes more money to advertise so, -55 so the answer would be:

(14 – 7)n – 55

Answer:

  {30}

Step-by-step explanation:

The solution set can be written a couple of ways:

Roster: lists the elements of the set:

  x = {30}

Set builder notation: defines the elements of the set according to some rule or rules

  {x : x = 30}

The latter form can have variations that define the domain of x on the left, such as

  [tex]\{x\in\mathbb{Z}:x=30\}[/tex]

This is pronounced, "x is an element of the set of integers such that x is equal to 30." This sort of notation is more commonly used when the set is specified by an inequality or a functional relationship. You may see the colon (:) replaced by a vertical bar (|).

_____

Comment on the above notations

I don't like the notation x = {30} because the solution to the equation is a value, not a set of values. I prefer to write it as x ∈ {30}. "x is an element of the set containing 30." The "is an element of" symbol (∈) is not always available, so the equal sign is often used instead.

Answer:

The answer is "0.9461"

Step-by-step explanation:

Given:

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex]

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] ≈[tex]\sum^2_{n=0}\frac{(-1)^n x^{2n+1} (-1)^n (x-1)^n}{(2n + 1)!}[/tex]

[tex]\therefore[/tex]

[tex]\to \sin x = \sum^{\infty}_{n=0} (-1)^n\frac{x^{(2n+1)}}{(2n + 1)!}[/tex]

[tex]\because \\\\ \to \frac{\sin x}{x} =\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n+1-1}}{(2n+1)!}\\[/tex]

           [tex]=\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n}}{(2n+1)!}[/tex]

The value is in between 0 and 1 then:

 [tex]\to \int^1_0 \frac{sin(x)}{x} = =\sum^{2}_{n=0} \frac{(-1)^n}{ (2n+1) (2n+1)!}[/tex]

The above-given series is an alternative series, and it will give an error, when the nth term is bounded by its absolute value, that can be described as follows:

[tex]\to \frac{1}{(2n+3) (2n+3)!}< 0.0001\\\\\to (2n+3) (2n+3)!> 0.0001\\\\\to n\geq 2 \\[/tex]

So,

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] ≈[tex]1 - \frac{1}{3 \cdot 3!}+\frac{1}{5 \cdot 5!}\\\\[/tex]

                  [tex]\approx 1 - \frac{1}{3 \cdot 6}+\frac{1}{5 \cdot 120}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx \frac{18-1}{18}+\frac{1}{600}\\\\\approx \frac{17}{18}+\frac{1}{600}\\\\\approx \frac{1700+3}{1800}\\\\ \approx \frac{1703}{1800}\\\\\approx 0.9461[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then the approximation summation is equal to 0.9461.

The finite series can be used as a polynomial with an infinite number of the term.

[tex]\int_{0}^{1} \dfrac{\sin x}{x} dx = \sum_{n=0}^{2} \dfrac{(-1)^{n}x^{2n+1}(-1)^{n}x^{n}}{(2n+1)!}[/tex]

Then we have

[tex]\Rightarrow \sin x = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1}}{(2n+1)!} \\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1-1}}{(2n+1)!}\\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n}}{(2n+1)!}[/tex]

Then the value is between 0 and 1, will be

[tex]\Rightarrow \int_0^1 \dfrac{\sin x}{x} = \sum_{n=0}^{2} \dfrac{(-1)^{n} }{(2n+1)(2n+1)!}[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then which can be described as

[tex]\Rightarrow \dfrac{1}{(2n+3)(2n+3)!} < 0.0001\\\\\\\Rightarrow (2n+3)(2n+3)! = > 0.0001\\\\\\\Rightarrow n > 2[/tex]

So,

[tex]\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 3!} + \dfrac{1}{5\times 5!}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 6} + \dfrac{1}{5\times 120}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{18} + \dfrac{1}{600}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 0.9461[/tex]

More about the power series link is given below.

https://brainly.com/question/14318966

Answer:

The volume of the space between the balls and the rectangular box is [tex]4r^{3}(6 - \pi)[/tex]

Step-by-step explanation:

The attachment below shows the description of the rectangular bow and the three spherical balls.

From the description,  

This means the balls are tightly fitted into the rectangular box.

Each of the balls has a radius r

Hence, The volume of one of the balls is given by the volume of a sphere

[tex]Volume of a sphere = \frac{4}{3} \pi r^{3} \\[/tex]

The volume occupied by one of the balls is [tex]\frac{4}{3} \pi r^{3} \\[/tex]

∴ The volume occupied by the three spherical balls will be

3 × [tex]\frac{4}{3} \pi r^{3} \\[/tex]

= [tex]4\pi r^{3}[/tex]

The volume occupied by the three spherical balls [tex]4\pi r^{3}[/tex]

For the rectangular box,

The volume of a rectangular box = [tex]l w h[/tex]

Where [tex]l\\[/tex] is the length

[tex]w[/tex] is the width and

[tex]h[/tex] is the height

Since the balls are tightly packed,

The width of the rectangular box will be the diameter of the balls

diameter of the balls = 2r

∴ [tex]w[/tex] = 2r

The height of the rectangular box will also be the diameter of the balls

∴ [tex]h[/tex] = 2r

The length of the rectangular box will be 3 times the diameter of the balls

∴[tex]l[/tex] = 3 × 2r = 6r

Hence,

The volume of a rectangular box = 6r × 2r × 2r

= 24r³

The volume of the space between the balls and the rectangular box is given by

Volume of the space between the balls and the rectangular box =

volume of the rectangular box -  volume occupied by the three spherical balls

Volume of the space between the balls and the rectangular box= 24r³ - 4πr³

=  24r³ - 4πr³

= 4r³(6 - π)

Answer:

Rectangle: 27

Triangle: 39

Step-by-step explanation:

To find the perimeter of a rectangle use the expression P = 2(l + w)

Before substituting 4.5 for x simplify the equation

2((-3 + x) + 1/2(4x + 6)) = P

First simplify in the parenthesis

2(-3 + x + 2x + 3) = P

Now combine like terms, then multiply 2 and 3x

2(3x) = P

P = 6x

Lastly substitute 4.5 for x to find the perimeter

P = 6(4.5)

P = 27

Now do the same thing that we did with the rectangle but with a triangle

P = a + b + c

(3x - 4) + (3x - 4) + 2/3(6x + 3) = P

10x - 6 = P

10(4.5) - 6 = P

P = 39

Answer:

none of the above

Step-by-step explanation:

the equation is supposed to be 3=2.91, 2=x, I hope you get it.

Answer:21

Step-by-step explanation:

Answer:

5 - n^2

Step-by-step explanation:

Represent the unknown number by n.  Then the desired expression is:

5 - n^2

Expressing the problem as a mathematical equation, the required expression ls n² - 5

Let the number = n ;

The square of the number, n = n²

Subtracting 5 from the squared Value of the number n² ;

The expression becomes ; n² - 5

Therefore, the required expression which expresses 5 minus the square of a number is n² - 5

Learn more : https://brainly.com/question/15165519

Answer:

9m - 2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

-5m - 2(1 - 7m)

Step 2: Distribute -2

-5m - 2 + 14m

Step 3: Combine like terms

9m - 2

Answer:

When added together, the sum of the given functions have a value of -6.

Step-by-step explanation:

When we see f(-2), it means that our value of x for the f(x) function is -2. When we see g(5), it means that our value of x for the g(x) function is 5. So, let's use this information and plug it into our equation.

f(-2) + f(5) = (3(-2) - 1) + (-(5) + 6)

Multiply 3 by -2 and distribute the negative to 5.

f(-2) + f(5) = (-6 - 1) + (-5 + 6)

Subtract 1 from -6 and add 6 to -5.

f(-2) + f(5) = (-7) + (1)

Add 1 to -7.

f(-2) + f(5) = -6

So, when added, the sum of the functions is -6.

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{(x - 7)(x - 6)}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {x}^{2} - 13x + 42 }[/tex]

Here, we have to find the two numbers that adds to 13 and multiplies to 42.

The numbers are 7 and 6

[tex] \sf{ {x}^{2} - (7 + 6)x + 42}[/tex]

⇒[tex] \sf{ {x}^{2} - 7x - 6x + 42}[/tex]

Factor out x from the expression

⇒[tex] \sf{x(x - 7) - 6x + 42}[/tex]

Factor out 6 from the expression

⇒[tex] \sf{x(x - 7) - 6(x - 7)}[/tex]

Factor out x - 7 from the expression

⇒[tex] \sf{(x - 7)(x - 6)}[/tex]

Hope I helped!

Best regards!!

Answer:

x-7 For AP EX peeps

Step-by-step explanation: